seven-dimensional geometry, a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-cube. There are 32 unique...
23 KB (352 words) - 18:51, 7 August 2021
In seven-dimensional geometry, a hexic 7-cube is a convex uniform 7-polytope, constructed from the uniform 7-demicube. There are 16 unique forms. The...
8 KB (242 words) - 13:41, 30 November 2020
constructed from the 6-orthoplex given at pentellated 6-orthoplex. Pentellated 6-orthoplex Expanded 6-cube, expanded 6-orthoplex Small teri-hexeractihexacontitetrapeton...
15 KB (513 words) - 03:48, 4 May 2024
Rectified 7-cube, 7-cube, Truncated 7-cube, Cantellated 7-cube, Runcinated 7-cube, Stericated 7-cube, Pentellated 7-cube, Hexicated 7-cube 7-orthoplex...
47 KB (3,580 words) - 17:01, 29 June 2024
seven-dimensional geometry, a pentellated 7-orthoplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-orthoplex. There are...
25 KB (440 words) - 18:48, 7 August 2021
seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-simplex. There are...
27 KB (862 words) - 04:34, 26 December 2017
Rectified 7-cube, Truncated 7-cube, Cantellated 7-cube, Runcinated 7-cube, Stericated 7-cube, Pentellated 7-cube, Hexicated 7-cube 7-orthoplex, Rectified 7-orthoplex...
30 KB (2,685 words) - 07:39, 28 July 2024
other 6 more easily constructed as a pentellated 6-cube. The simple pentellated 6-orthoplex (Same as pentellated 5-cube) is also called an expanded 6-orthoplex...
10 KB (335 words) - 19:03, 25 June 2017
convex regular 7-polytopes: {3,3,3,3,3,3} - 7-simplex {4,3,3,3,3,3} - 7-cube {3,3,3,3,3,4} - 7-orthoplex There are no nonconvex regular 7-polytopes. The...
107 KB (1,015 words) - 14:30, 10 June 2024
B7 polytope (redirect from List of 7-cube polytopes)
In 7-dimensional geometry, there are 128 uniform polytopes with B7 symmetry. There are two regular forms, the 7-orthoplex, and 8-cube with 14 and 128 vertices...
69 KB (255 words) - 16:01, 9 June 2020
6-cube is a convex uniform 6-polytope. There are 8 pentic forms of the 6-cube. The pentic 6-cube, , has half of the vertices of a pentellated 6-cube, ...
15 KB (662 words) - 16:42, 2 September 2024
cross-section of the pentellated 6-simplex with a 5-dimensional hyperplane is a stericated hexateron. This cross-section divides the pentellated 6-simplex into...
54 KB (1,124 words) - 23:53, 11 September 2024
Uniform 8-polytope (redirect from Uniform 7-honeycomb)
{3[8]} C ~ 7 {\displaystyle {\tilde {C}}_{7}} 135 uniquely ringed forms, including: Regular 7-cube honeycomb: {4,34,4} = {4,34,31,1}, = B ~ 7 {\displaystyle...
147 KB (1,007 words) - 06:40, 26 July 2024
honeycomb, and a quarter of the vertices of a 7-cube honeycomb. Its facets are 7-demicubes, pentellated 7-demicubes, and {31,1,1}×{3,3} duoprisms. This...
2 KB (210 words) - 14:04, 17 March 2023
The movement of the analog stick(s) of the Nintendo 64 controller, the GameCube controller, the Wii Nunchuk and the Classic Controller is restricted by a...
18 KB (2,148 words) - 02:27, 30 August 2024
B6 polytope (redirect from List of 6-cube polytopes)
polytopes with B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-cube with 12 and 64 vertices respectively. The 6-demicube is added with half the...
31 KB (252 words) - 00:20, 28 May 2017
B8 polytope (redirect from List of 8-cube polytopes)
polytopes with B8 symmetry. There are two regular forms, the 8-orthoplex and 8-cube, with 16 and 256 vertices respectively. The 8-demicube is added with half...
147 KB (126 words) - 10:18, 10 June 2023
10-polytopes: {3,3,3,3,3,3,3,3,3} - 10-simplex {4,3,3,3,3,3,3,3,3} - 10-cube {3,3,3,3,3,3,3,3,4} - 10-orthoplex There are no nonconvex regular 10-polytopes...
23 KB (822 words) - 15:32, 21 January 2024
the pentellated 8-simplex, while the bipentellated 8-simple is doubled to [18] symmetry. The Cartesian coordinates of the vertices of the pentellated 8-simplex...
6 KB (328 words) - 04:45, 4 April 2023
A7 polytope (redirect from List of 7-simplex polytopes)
In 7-dimensional geometry, there are 71 uniform polytopes with A7 symmetry. There is one self-dual regular form, the 7-simplex with 8 vertices. Each can...
31 KB (246 words) - 15:50, 18 January 2021
uniform polypeta are regular polytopes: the 6-simplex {3,3,3,3,3}, the 6-cube (hexeract) {4,3,3,3,3}, and the 6-orthoplex (hexacross) {3,3,3,3,4}. Regular...
68 KB (1,491 words) - 06:24, 17 November 2023
planes. Ak has [k+1] symmetry. These 135 polytopes are each shown in these 7 symmetry planes, with vertices and edges drawn, and vertices colored by the...
60 KB (234 words) - 15:52, 18 January 2021
regular 9-polytopes: {3,3,3,3,3,3,3,3} - 9-simplex {4,3,3,3,3,3,3,3} - 9-cube {3,3,3,3,3,3,3,4} - 9-orthoplex There are no nonconvex regular 9-polytopes...
82 KB (894 words) - 15:27, 21 January 2024
with A6 symmetry. There is one self-dual regular form, the 6-simplex with 7 vertices. Each can be visualized as symmetric orthographic projections in...
15 KB (246 words) - 08:21, 23 November 2017